TY - GEN
T1 - How to color a checkerboard with a given distribution - Matrix rounding achieving low 2 × 2-discrepancy
AU - Asano, Tetsuo
AU - Tokuyama, Takeshi
PY - 2001
Y1 - 2001
N2 - Motivated by a digital halftoning application to convert a continuous-tone image into a binary image, we discusses how to round a [0, 1]-valued matrix into a 0, 1 binary matrix achieving lowdi screpancy with respect to the family of all 2×2 square submatrices (or regions). A trivial upper bound of the discrepancy is 2 and the known lower bound is 1. In this paper we shall show howto achieve a new upper bound 5/3 using a newpro of technique based on modified graph matching.
AB - Motivated by a digital halftoning application to convert a continuous-tone image into a binary image, we discusses how to round a [0, 1]-valued matrix into a 0, 1 binary matrix achieving lowdi screpancy with respect to the family of all 2×2 square submatrices (or regions). A trivial upper bound of the discrepancy is 2 and the known lower bound is 1. In this paper we shall show howto achieve a new upper bound 5/3 using a newpro of technique based on modified graph matching.
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U2 - 10.1007/3-540-45678-3_54
DO - 10.1007/3-540-45678-3_54
M3 - Conference contribution
AN - SCOPUS:70350648025
SN - 3540429859
SN - 9783540429852
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 636
EP - 648
BT - Algorithms and Computation - 12th International Symposium, ISAAC 2001, Proceedings
T2 - 12th International Symposium on Algorithms and Computation, ISAAC 2001
Y2 - 19 December 2001 through 21 December 2001
ER -